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212338152 = 23331375619
BaseRepresentation
bin11001010100000…
…00010111101000
3112210112220012000
430222000113220
5413324310102
633023051000
75155562445
oct1452002750
9483486160
10212338152
11a994a884
125b140a60
1334cb71a0
14202b49cc
151399501c
hexca805e8

212338152 has 64 divisors (see below), whose sum is σ = 635208000. Its totient is φ = 65333952.

The previous prime is 212338103. The next prime is 212338157. The reversal of 212338152 is 251833212.

212338152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212338157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35002 + ... + 40617.

It is an arithmetic number, because the mean of its divisors is an integer number (9925125).

Almost surely, 2212338152 is an apocalyptic number.

It is an amenable number.

212338152 is an abundant number, since it is smaller than the sum of its proper divisors (422869848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212338152 is a wasteful number, since it uses less digits than its factorization.

212338152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75647 (or 75637 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 212338152 is about 14571.8273390814. The cubic root of 212338152 is about 596.5900571963.

The spelling of 212338152 in words is "two hundred twelve million, three hundred thirty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 75619 151238 226857 302476 453714 604952 680571 907428 983047 1361142 1814856 1966094 2041713 2722284 2949141 3932188 4083426 5444568 5898282 7864376 8166852 8847423 11796564 16333704 17694846 23593128 26542269 35389692 53084538 70779384 106169076 212338152